Embodiments of the present invention provide methods, systems, and computer-readable storage medium for managing access to an application on a mobile computing device. In an embodiment, a method includes receiving a request from a user to return to the application and return to a previous screen of the application on the mobile computing device, and determining, using a processor, whether the previous screen of the application was in a secured area of the application. If it was in the secured area, then an authentication protocol is triggered prior to allowing the user to return to the previous screen in the secured area of the application on the mobile computing device. In another embodiment, geolocation dependent information is provided to a user via an application on a mobile computing device.

Methods for communicating are disclosed. A method includes obtaining at least one input communication symbol selected from a set of communication symbols, converting the at least one input communication symbol into at least one transmittable waveform using at least one defined spiral waveform function, and transmitting the at least one transmittable waveform over a communication channel. Example spiral waveform functions include spline-based piecewise functions and Archimedes spiral functions.

Systems, devices, and methods of the present invention enhance data transmission through the use of polynomial symbol waveforms (PSW) and sets of PSWs corresponding to a symbol alphabet is here termed a PSW alphabet. Methods introduced here are based on modifying polynomial alphabet by changing the polynomial coefficients or roots of PSWs and/or shaping of the polynomial alphabet, such as by polynomial convolution, to produce a designed PSW alphabet including waveforms with improved characteristics for data transmission.

A technology related to a distributed antenna system is disclosed. In an exemplary embodiment, a distributed antenna system may include a master unit and a plurality of remote units. The master unit may be interfaced with a wireless communications network and perform a bidirectional simultaneous digital radio frequency distribution of a wireless signal. The plurality of remote units may be each coupled to the master unit, and each perform a wireless transmission or reception of a split radio frequency signal to or from terminals located within a coverage. The master unit and the plurality of remote units may transmit or receive digital radio frequency signals in a wavelet transform domain. The master unit may determine whether the digital radio frequency signal, transmitted by each of the remote units, is normal, and merge the digital radio frequency signals.

Embodiments of the present invention provide methods, systems, and computer-readable storage medium for managing access to an application on a mobile computing device. In an embodiment, a method includes receiving a request from a user to return to the application and return to a previous screen of the application on the mobile computing device, and determining, using a processor, whether the previous screen of the application was in a secured area of the application. If it was in the secured area, then an authentication protocol is triggered prior to allowing the user to return to the previous screen in the secured area of the application on the mobile computing device. In another embodiment, geolocation dependent information is provided to a user via an application on a mobile computing device.

Aspects of embodiments relate to an optical wavelet transform (WT) or inverse wavelet transform (IWT) medium for implementing optical multiwavelet orthogonal Frequency Division Multiplexing (OFDM) or optical demultiplexing. In embodiments, the optical WT/IWT medium comprises a plurality of N waveguides for receiving in parallel a corresponding number of N modulated optical input signals .sub.1,MOD to .sub.N,MOD. Each waveguide comprises at least two optical resonators configured such to realize a wavelet filterbank so that the modulated optical signals .sub.1,MOD to .sub.n,MOD undergo WT/IWT in a manner such to obtain optical wavelet transformed signals that can be orthogonally frequency division multiplexed or demultiplexed.